Delay differential equations with Hill's type growth rate and linear harvesting

For the equation, N ˙ ( t ) = r ( t ) N ( t ) 1 + [ N ( t ) ] γ − b ( t ) N ( t ) − a ( t ) N ( g ( t ) ) , we obtain the following results: boundedness of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with po...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2005-02, Vol.49 (4), p.549-563
Hauptverfasser:	Berezansky, L., Braverman, E., Idels, L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Bounded solutions Delay Delay equations Differential equations Extinction and persistence Harvesting Mackey-Glass equation Mathematical analysis Mathematical models
Online-Zugang:	Volltext
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